The Cauchy Problem for a Dissipative Periodic 2-Component Degasperis-Procesi System
The dissipative periodic 2-component Degasperis-Procesi system is investigated. A local well-posedness for the system in Besov space is established by using the Littlewood-Paley theory and a priori estimates for the solutions of transport equation. The wave-breaking criterions for strong solutions t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/410981 |
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| _version_ | 1832552090387349504 |
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| author | Sen Ming Han Yang Ls Yong |
| author_facet | Sen Ming Han Yang Ls Yong |
| author_sort | Sen Ming |
| collection | DOAJ |
| description | The dissipative periodic 2-component Degasperis-Procesi system is investigated. A local well-posedness for the system in Besov space is established by using the Littlewood-Paley theory and a priori estimates for the solutions of transport equation. The wave-breaking criterions for strong solutions to the system with certain initial data are derived. |
| format | Article |
| id | doaj-art-9041bed723564e59984cbc216bffe444 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9041bed723564e59984cbc216bffe4442025-02-03T05:59:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/410981410981The Cauchy Problem for a Dissipative Periodic 2-Component Degasperis-Procesi SystemSen Ming0Han Yang1Ls Yong2School of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaDepartment of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, ChinaThe dissipative periodic 2-component Degasperis-Procesi system is investigated. A local well-posedness for the system in Besov space is established by using the Littlewood-Paley theory and a priori estimates for the solutions of transport equation. The wave-breaking criterions for strong solutions to the system with certain initial data are derived.http://dx.doi.org/10.1155/2014/410981 |
| spellingShingle | Sen Ming Han Yang Ls Yong The Cauchy Problem for a Dissipative Periodic 2-Component Degasperis-Procesi System Journal of Applied Mathematics |
| title | The Cauchy Problem for a Dissipative Periodic 2-Component Degasperis-Procesi System |
| title_full | The Cauchy Problem for a Dissipative Periodic 2-Component Degasperis-Procesi System |
| title_fullStr | The Cauchy Problem for a Dissipative Periodic 2-Component Degasperis-Procesi System |
| title_full_unstemmed | The Cauchy Problem for a Dissipative Periodic 2-Component Degasperis-Procesi System |
| title_short | The Cauchy Problem for a Dissipative Periodic 2-Component Degasperis-Procesi System |
| title_sort | cauchy problem for a dissipative periodic 2 component degasperis procesi system |
| url | http://dx.doi.org/10.1155/2014/410981 |
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